Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744x |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-33082147228299264 = -1 · 212 · 39 · 177 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79379,1601531] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-3468:1] |
Generators of the group modulo torsion |
j |
559476224/334611 |
j-invariant |
L |
5.013323752072 |
L(r)(E,1)/r! |
Ω |
0.22568281997416 |
Real period |
R |
0.30852812174416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27744p1 55488ch1 83232g1 1632f1 |
Quadratic twists by: -4 8 -3 17 |